Module Catalogue 2025/26

ENG2011 : Engineering Mathematics II

ENG2011 : Engineering Mathematics II

  • Offered for Year: 2025/26
  • Module Leader(s): Dr Graeme Sarson
  • Lecturer: Dr David Swailes
  • Owning School: Mathematics, Statistics and Physics
  • Teaching Location: Newcastle City Campus
Semesters

Your programme is made up of credits, the total differs on programme to programme.

Semester 1 Credit Value: 10
ECTS Credits: 5.0
European Credit Transfer System
Pre-requisite

Modules you must have done previously to study this module

Code Title
ENG1001Engineering Mathematics I
Pre Requisite Comment

ENG1001 Engineering Mathematics I
English Language to IELTS 6.0 or Pearsons 54 or equivalent. Satisfactory progression or admissions requirement for entry to Stage 2 of engineering undergraduate programme.

Co-Requisite

Modules you need to take at the same time

Co Requisite Comment

None

Aims

To extend students' knowledge, understanding and use of analytical methods required in a range of engineering applications.. The course covers more advanced methods for solving differential equations, theory and applications of vector analysis and various infinite series.

Outline Of Syllabus

Differential Equations and Series:
- The Laplace transform and its application to solving ordinary differential equations

Fourier Series:
- Partial differential equations with applications Vectors analysis
- Vector methods and their applications
- Scalar and vector fields - grad, div, curl and potential fields
- Surface and volume integrals
- Divergence theorem and applications to transport processes
- Application to fluid mechanics: material derivative, continuity and Euler's equations

Learning Outcomes

Intended Knowledge Outcomes

For the student to acquire knowledge and understanding of a range of standard theory, concepts and techniques in:
- ordinary and partial differential equations
- vector methods and their applications in engineering science

Intended Skill Outcomes

To acquire competence to:
- Analyse and formulate a problem mathematically.
- Devise an appropriate strategy to solve the problem.
- Identify and implement a suitable solution method.
- Interpret and communicate results and conclusions effectively within the context of standard mathematical methods for engineers.

Teaching Methods

Teaching Activities
Category Activity Number Length Student Hours Comment
Structured Guided LearningLecture materials132:0026:00Lecture Notes
Scheduled Learning And Teaching ActivitiesLecture221:0022:00In Person Lectures
Guided Independent StudyAssessment preparation and completion28:0016:00CBA assessments
Guided Independent StudyAssessment preparation and completion101:0010:00Computer based exercises
Guided Independent StudySkills practice101:0010:00Skill practice for computer exercise
Scheduled Learning And Teaching ActivitiesSmall group teaching111:0011:00In Person
Guided Independent StudyIndependent study100:305:00Lecture materials
Total100:00
Teaching Rationale And Relationship

Printed material to introduce each topic and worked examples to support in-person lectures. In-person tutorials will be used to address student queries. Computer-based exercises and tests will help students to check and improve their skills. Bookable office hour personal tutorials will support students on demand. Exercise sheets are for practice of methods and reinforcement of understanding and applications.

Reading Lists

Assessment Methods

The format of resits will be determined by the Board of Examiners

Exams
Description Length Semester When Set Percentage Comment
Digital Examination1501A60NUMBAS based, invigilated
Other Assessment
Description Semester When Set Percentage Comment
Prob solv exercises1M20CBA NUMBAS 1 24 hour
Prob solv exercises1M20CBA NUMBAS 2 24 hour
Assessment Rationale And Relationship

The two CBA assessments and exam provide a suitable means of testing mathematical knowledge and technical competence.

Timetable

Past Exam Papers

General Notes

N/A

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Disclaimer

The information contained within the Module Catalogue relates to the 2025 academic year.

In accordance with University Terms and Conditions, the University makes all reasonable efforts to deliver the modules as described.

Modules may be amended on an annual basis to take account of changing staff expertise, developments in the discipline, the requirements of external bodies and partners, staffing changes, and student feedback. Module information for the 2026/27 entry will be published here in early-April 2026. Queries about information in the Module Catalogue should in the first instance be addressed to your School Office.